Atkin-Lehner |
2- 3- 11+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24882bf |
Isogeny class |
Conductor |
24882 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-73781300736 = -1 · 29 · 35 · 112 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 11+ 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3452,78864] |
[a1,a2,a3,a4,a6] |
Generators |
[100:-908:1] [-56:340:1] |
Generators of the group modulo torsion |
j |
-4549293289063873/73781300736 |
j-invariant |
L |
10.243836355388 |
L(r)(E,1)/r! |
Ω |
1.0934628339097 |
Real period |
R |
0.052045849396536 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74646r1 |
Quadratic twists by: -3 |